Question

Mark the correct alternative in the following question:
If two events are independent, then

Options

•  they must be mutually exclusive

•  the sum of their probabilities must be equal to 1

• (a) and (b) both are correct

•  none of the above is correct

   

Answer 1

\[\text{ Let A and B are two independent events . Then, }  \]
\[P\left( A \cap B \right) = P\left( A \right) \times P\left( B \right)\]
\[\text{ As } , P\left( A \cap B \right) \neq 0 \text{ or }  P\left( A \right) + P\left( B \right) \neq 1\]
\[\text{ So, both are neither mutually exclisive nor their sum of probabilities is 1 .} \]